166792480 has 48 divisors (see below), whose sum is σ = 399954240. Its totient is φ = 65716992.

The previous prime is 166792471. The next prime is 166792487. The reversal of 166792480 is 84297661.

It is not an unprimeable number, because it can be changed into a prime (166792487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2941 + ... + 18499.

It is an arithmetic number, because the mean of its divisors is an integer number (8332380).

Almost surely, 2^166792480 is an apocalyptic number.

166792480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199977120).

166792480 is an abundant number, since it is smaller than the sum of its proper divisors (233161760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166792480 is a wasteful number, since it uses less digits than its factorization.

166792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15641 (or 15633 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 166792480 is about 12914.8162975708. The cubic root of 166792480 is about 550.4596488108.

The spelling of 166792480 in words is "one hundred sixty-six million, seven hundred ninety-two thousand, four hundred eighty".